I think it would be a great idea to install a permanent sump crock and pump. But you don't want to connect the discharge up to your septic system. This would overload your tank and cause the solids to be flushed out, which will clog up your system and lead to major problems and expense.
So, make sure you extend the discharge of your pump outside your home and extend it as far away as possible from the foundation walls and also maintain a postive grade around the foundation walls of at least 1" per foot for 4' out. This will ensure that water will drain away and not back towards your walls.
The following link will show you how to install a sump crock and pump:
Installing A Sump Pump - Popular Mechanics
And the next two links will tell you all about your septic system and why it's important not to overload it with excessive water.
Septic System Owner's Guide: Maintenance and Care
Septic Systems A to Z Maintenance